Chaotic flows with special equilibria
In this review, we categorize chaotic systems with special properties in their equilibrium into
eight groups: Systems with no equilibrium (NE), systems with stable equilibrium (SE) …
eight groups: Systems with no equilibrium (NE), systems with stable equilibrium (SE) …
Chaos in analog electronic circuits: Comprehensive review, solved problems, open topics and small example
J Petrzela - Mathematics, 2022 - mdpi.com
This paper strives to achieve a comprehensive review of chaos in analog circuits and
lumped electronic networks. Readers will be guided from the beginning of the investigations …
lumped electronic networks. Readers will be guided from the beginning of the investigations …
Optimization and CMOS design of chaotic oscillators robust to PVT variations
VH Carbajal-Gomez, E Tlelo-Cuautle… - Integration, 2019 - Elsevier
Edward Lorenz was an early pioneer of the chaos theory. He discovered that small changes
in initial conditions produce large changes in long-term outcome, and introduced a chaotic …
in initial conditions produce large changes in long-term outcome, and introduced a chaotic …
[PDF][PDF] A novel mega-stable chaotic circuit
In recent years designing new multistable chaotic oscillators has been of noticeable interest.
A multistable system is a double-edged sword which can have many benefits in some …
A multistable system is a double-edged sword which can have many benefits in some …
[HTML][HTML] Chaotic and hyperchaotic dynamics of a Clapp oscillator
J Petrzela - Mathematics, 2022 - mdpi.com
This paper describes recent findings achieved during a numerical investigation of the circuit
known as the Clapp oscillator. By considering the generalized bipolar transistor as an active …
known as the Clapp oscillator. By considering the generalized bipolar transistor as an active …
Minimal realizations of autonomous chaotic oscillators based on trans-immittance filters
J Petrzela, L Polak - IEEE Access, 2019 - ieeexplore.ieee.org
This review paper describes a design process toward fully analog realizations of chaotic
dynamics that can be considered canonical (minimum number of the circuit elements) …
dynamics that can be considered canonical (minimum number of the circuit elements) …
Hyperchaotic self-oscillations of two-stage class C amplifier with generalized transistors
J Petrzela - IEEE Access, 2021 - ieeexplore.ieee.org
This paper yields process of development, numerical analysis, lumped circuit modeling, and
experimental verification of a new hyperchaotic oscillator based on the fundamental …
experimental verification of a new hyperchaotic oscillator based on the fundamental …
Chaotic states of transistor-based tuned-collector oscillator
J Petrzela - Mathematics, 2023 - mdpi.com
This brief paper shows that robust chaotic behavior can be detected within a tuned-collector
single-stage transistor-based oscillator. The content of this work also contributes to the …
single-stage transistor-based oscillator. The content of this work also contributes to the …
Chaotic Steady States of the Reinartz Oscillator: Mathematical Evidence and Experimental Confirmation
J Petrzela - Axioms, 2023 - mdpi.com
This paper contributes to the problem of chaos and hyperchaos localization in the
fundamental structure of analog building blocks dedicated to single-tone harmonic signal …
fundamental structure of analog building blocks dedicated to single-tone harmonic signal …
Analysis of a chaotic system with line equilibrium and its application to secure communications using a descriptor observer
In this work a novel chaotic system with a line equilibrium is presented. First, a dynamical
analysis on the system is performed, by computing its bifurcation diagram, continuation …
analysis on the system is performed, by computing its bifurcation diagram, continuation …